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What is the Least Common Multiple of 7289 and 7293?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 7289 and 7293 is 53158677.

LCM(7289,7293) = 53158677

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Least Common Multiple of 7289 and 7293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7289 and 7293, than apply into the LCM equation.

GCF(7289,7293) = 1
LCM(7289,7293) = ( 7289 × 7293) / 1
LCM(7289,7293) = 53158677 / 1
LCM(7289,7293) = 53158677

Least Common Multiple (LCM) of 7289 and 7293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7289 and 7293. First we will calculate the prime factors of 7289 and 7293.

Prime Factorization of 7289

Prime factors of 7289 are 37, 197. Prime factorization of 7289 in exponential form is:

7289 = 371 × 1971

Prime Factorization of 7293

Prime factors of 7293 are 3, 11, 13, 17. Prime factorization of 7293 in exponential form is:

7293 = 31 × 111 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 7289 and 7293.

LCM(7289,7293) = 371 × 1971 × 31 × 111 × 131 × 171
LCM(7289,7293) = 53158677